LCM of 724, 705, 968, 993, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 705, 968, 993, 147 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 724, 705, 968, 993, 147. So, keep reading to learn more.
Given numbers are 724,705,968,993,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,705,968,993,147 is 2003397479160.
Find LCM of 724,705,968,993,147 with Prime Factorization
| 2 | 724, 705, 968, 993, 147 |
| 2 | 362, 705, 484, 993, 147 |
| 3 | 181, 705, 242, 993, 147 |
| 181, 235, 242, 331, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 181 x 235 x 242 x 331 x 49 = 2003397479160
Therefore, the lowest common multiple of 724,705,968,993,147 is 2003397479160.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
724 x 705 x 968 x 993 x 147 = 72122309249760
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
724 : 1, 2, 4, 181, 362, 724
705 : 1, 3, 5, 15, 47, 141, 235, 705
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
993 : 1, 3, 331, 993
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,705,968,993,147, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
705:3x 5x 47
968:2x 2x 2x 11x 11
993:3x 331
147:3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3 = 36
Therefore, the value for common factors is 36.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 72122309249760/(1x36)
LCM = 72122309249760/36
LCM = 2003397479160
Thus, we can understand that the LCM of 724,705,968,993,147 is 2003397479160.
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FAQs on LCM of 724, 705, 968, 993, 147
1. What is the LCM of 724, 705, 968, 993, 147?
Answer: LCM of 724, 705, 968, 993, 147 is 2003397479160.
2. How to calculate the LCM of 724, 705, 968, 993, 147?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 724, 705, 968, 993, 147.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.